34129972040464 has 40 divisors (see below), whose sum is σ = 67325387289560. Its totient is φ = 16757720183808.

The previous prime is 34129972040413. The next prime is 34129972040471. The reversal of 34129972040464 is 46404027992143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9033078338064 + 25096893702400 = 3005508^2 + 5009680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63533547 + ... + 64068490.

It is an arithmetic number, because the mean of its divisors is an integer number (1683134682239).

Almost surely, 2^{34129972040464} is an apocalyptic number.

It is an amenable number.

34129972040464 is a deficient number, since it is larger than the sum of its proper divisors (33195415249096).

34129972040464 is a wasteful number, since it uses less digits than its factorization.

34129972040464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127602347 (or 127602341 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 34129972040464 in words is "thirty-four trillion, one hundred twenty-nine billion, nine hundred seventy-two million, forty thousand, four hundred sixty-four".